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8343114518025 = 325272275092
BaseRepresentation
bin111100101101000100001…
…1000001000111000001001
31002112121000222212212122100
41321122020120020320021
52043143144304034100
625424435054544013
71520525104205100
oct171321030107011
932477028785570
108343114518025
112727327706011
12b28b50208009
134869a1b144a1
1420bb47885037
15e7054771400
hex79688608e09

8343114518025 has 81 divisors (see below), whose sum is σ = 17383823187861. Its totient is φ = 3813856562880.

The previous prime is 8343114517957. The next prime is 8343114518047. The reversal of 8343114518025 is 5208154113438.

The square root of 8343114518025 is 2888445.

It is a perfect power (a square), and thus also a powerful number.

8343114518025 is a `hidden beast` number, since 8 + 3 + 431 + 14 + 5 + 180 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3434302056969 + 4908812461056 = 1853187^2 + 2215584^2 .

It is not a de Polignac number, because 8343114518025 - 211 = 8343114515977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 303272971 + ... + 303300479.

Almost surely, 28343114518025 is an apocalyptic number.

8343114518025 is the 2888445-th square number.

8343114518025 is the 1444223-rd centered octagonal number.

It is an amenable number.

8343114518025 is an abundant number, since it is smaller than the sum of its proper divisors (9040708669836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8343114518025 is an frugal number, since it uses more digits than its factorization.

8343114518025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55048 (or 27524 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 8343114518025 in words is "eight trillion, three hundred forty-three billion, one hundred fourteen million, five hundred eighteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 27509 82527 137545 192563 247581 412635 577689 687725 962815 1237905 1347941 1733067 2063175 2888445 4043823 4814075 6189525 6739705 8665335 12131469 14442225 20219115 33698525 43326675 60657345 101095575 303286725 756745081 2270235243 3783725405 5297215567 6810705729 11351176215 15891646701 18918627025 26486077835 34053528645 37080508969 47674940103 56755881075 79458233505 111241526907 132430389175 170267643225 185402544845 238374700515 333724580721 397291167525 556207634535 927012724225 1191873502575 1668622903605 2781038172675 8343114518025